Displacement current is associated with the generation of magnetic fields due to time-varying electric fields. The harmonic response of a magneto-electro-elastic axisymmetric cylinder accounting for displacement current is carried out using the semi-analytical finite element method. The non-conservative electric field is represented using a magnetic vector potential. Studies are carried out for the first circumferential harmonics of the shell structure with the clamped-free boundary condition. The contribution made to the magnetic flux density by the electric displacement current is very small at lower frequencies but it becomes significant at higher frequencies. © 2010 IOP Publishing Ltd.

Shankar Krishnapillai

Department of Mechanical Engineering

B. Biju

Natrajan Ganesan

Axisymmetric

DISPLACEMENT CURRENTS

ELECTRIC DISPLACEMENT

Finite element formulations

FREE BOUNDARY CONDITIONS

HARMONIC RESPONSE

Higher frequencies

Lower frequencies

MAGNETIC FLUX DENSITIES

MAGNETIC VECTOR POTENTIALS

MAGNETO-ELECTRO-ELASTIC

SEMI-ANALYTICAL FINITE ELEMENT METHODS

Shell structure

Time varying

Magnetic fields

Magnetic flux

Magnetos

Electric fields

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Finite element formulation using magnetic vector potential approach: effects of displacement current in magneto-electro-elastic cylindrical shells

Smart Materials and Structures

In this paper, the sensory behaviour of magneto-electro-elastic (MEE) materials is presented under transient mechanical loading using a finite element method. The sensor is bonded on the top surface of a mild steel beam. Numerical results are presented for different sensor locations along the length of a beam, subjected to clamped-free and simply supported boundary conditions. A transient sensory response of PZT-5 and (Terfenol-D)-epoxy mixed components (MSCP) is also studied. Ansys 8.1 is used to validate the sensory response (i.e. displacement and electric potential) of PZT-5 with the computer code. © 2008 Elsevier B.V. All rights reserved.

Sensors and Actuators, A: Physical

Behaviour of magneto-electro-elastic sensors under transient mechanical loading

The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied. A series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure. The constitutive equations of the magneto-electro-elastic medium involving mechanical, electrical and magnetic fields are used to derive the finite element model for the system. The influence of the piezomagnetic effect on the structural frequencies of the cylindrical shell is studied. A comparison is made between a shell with a layered configuration and one with a multiphase system. The study is carried out for a typical shell with simply supported boundary conditions for different ratios of length to radius and radius to thickness to analyse the frequency behaviour. © 2006 IOP Publishing Ltd.

Free vibrations of simply supported layered and multiphase magneto-electro-elastic cylindrical shells

International Journal of Solids and Structures

Magneto–thermo–electro–elastic transient response in a piezoelectric hollow cylinder subjected to complex loadings

The transient responses of magneto-electro-elastic hollow cylinders

International Journal of Engineering Science

A finitely long circular cylindrical shell of piezoelectric/piezomagnetic composite under pressuring and temperature change

Finite element formulation using magnetic vector potential approach: Effects of displacement current in magneto-electro-elastic cylindrical shells

Journal	Smart Materials and Structures
ISSN	09641726
Open Access	No